<span>Orthocenter is at (-3,3)
The orthocenter of a triangle is the intersection of the three heights of the triangle (a line passing through a vertex of the triangle that's perpendicular to the opposite side from the vertex. Those 3 lines should intersect at the same point and that point may be either inside or outside of the triangle. So, let's calculate the 3 lines (we could get by with just 2 of them, but the 3rd line acts as a nice cross check to make certain we didn't do any mistakes.)
Slope XY = (3 - 3)/(-3 - 1) = 0/-4 = 0
Ick. XY is a completely horizontal line and it's perpendicular will be a complete vertical line with a slope of infinity. But that's enough to tell us that the orthocenter will have the same x-coordinate value as vertex Z which is -3.
Slope XZ = (3 - 0)/(-3 - (-3)) = 3/0
Another ick. This slope is completely vertical. So the perpendicular will be complete horizontal with a slope of 0 and will have the same y-coordinate value as vertex Y which is 3.
So the orthocenter is at (-3,3).</span>
The area of the trampoline is 94.76 because if you multiply 10.3 and 9.2 you will get the answer
Answer:
108 pizzas
Step-by-step explanation:
300/25 = 12 groups of 25 students
9 pizzas per group
9(12) = 108 pizzas
hope this helps
<h2>
Answer: -30y + 12u + 18 </h2>
<h3>
Step-by-step explanation:</h3>
<em> by multiplying each term in the parentheses by the term outside</em>
-6(5y-2u-3) = (-6 × 5y) + (-6 × - 2u) + (-6 × -3)
= -30y + 12u + 18